Sorry, but I'm confused by your question. Your entries on the Identities page only changes the choices you have to change your From address when sending. They do not affect receiving email.

If you go to the Settings>Identities & Fetch page, you will see one or more Send Mail As identities at the top. You can edit each of these, and while editing you can click Show advanced preferences to change more features (such as creating a Nickname only visible to you). You can remove that sending identity using the Remove Account button while editing an identity.

Thanks Bill The reason I placed two identical address's at top is because that is what is displayed. I wish to delete one of them. When I click edit i get top of compose screen don't get a delete or anything telling me how to edit the addy